The coefficient of x7 in (1 – x + 2x3)10 is _________.
Explanation
Tn=a!b!c!10!(1)a(−x)b(2x3)c
a+b+c=10,b+3c=7
Possible values of (a, b, c): (3,7,0),(5,4,1),(7,1,2)
Coefficient of x7=−120+2520−1440=960
Explanation
Tn=a!b!c!10!(1)a(−x)b(2x3)c
a+b+c=10,b+3c=7
Possible values of (a, b, c): (3,7,0),(5,4,1),(7,1,2)
Coefficient of x7=−120+2520−1440=960